Characters of Reductive Groups over a Finite Field. (AM-107), Volume 107 /

Characters of Reductive Groups over a Finite Field. (AM-107), Volume 107 / / George Lusztig.

This book presents a classification of all (complex)irreducible representations of a reductive group withconnected centre, over a finite field. To achieve this,the author uses etale intersection cohomology, anddetailed information on representations of Weylgroups.

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
VerfasserIn:
Lusztig, George,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2016]
©1984
Year of Publication:2016
Language:English
Series:Annals of Mathematics Studies ; 107
Online Access:
Physical Description:1 online resource (408 p.)
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100 1 |a Lusztig, George,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Characters of Reductive Groups over a Finite Field. (AM-107), Volume 107 /  |c George Lusztig. 
264 1 |a Princeton, NJ :   |b Princeton University Press,   |c [2016] 
264 4 |c ©1984 
300 |a 1 online resource (408 p.) 
336 |a text  |b txt  |2 rdacontent 
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490 0 |a Annals of Mathematics Studies ;  |v 107 
505 0 0 |t Frontmatter --   |t TABLE OF CONTENTS --   |t INTRODUCTION --   |t 1. COMPUTATION OF LOCAL INTERSECTION COHOMOLOGY OF CERTAIN LINE BUNDLES OVER A SCHUBERT VARIETY --   |t 2. LOCAL INTERSECTION COHOMOLOGY WITH TWISTED COEFFICIENTS OF THE CLOSURES OF THE VARIETIES XW --   |t 3. GLOBAL INTERSECTION COHOMOLOGY WITH TWISTED COEFFICIENTS OF THE VARIETY X̅W --   |t 4. REPRESENTATIONS OF WEYL GROUPS --   |t 5. CELLS IN WEYL GROUPS --   |t 6. AN INTEGRALITY THEOREM AND A DISJOINTNESS THEOREM --   |t 7. SOME EXCEPTIONAL GROUPS --   |t 8. DECOMPOSITION OF INDUCED REPRESENTATIONS --   |t 9. CLASSICAL GROUPS --   |t 10. COMPLETION OF THE PROOF OF THEOREM 4.23 --   |t 11. EIGENVALUES OF FROBENIUS --   |t 12. ON THE STRUCTURE OF LEFT CELLS --   |t 13. RELATIONS WITH CONJUGACY CLASSES --   |t 14. CONCLUDING REMARKS --   |t APPENDIX --   |t REFERENCES --   |t SUBJECT INDEX --   |t NOTATION INDEX --   |t Backmatter 
506 0 |a restricted access  |u http://purl.org/coar/access_right/c_16ec  |f online access with authorization  |2 star 
520 |a This book presents a classification of all (complex)irreducible representations of a reductive group withconnected centre, over a finite field. To achieve this,the author uses etale intersection cohomology, anddetailed information on representations of Weylgroups. 
530 |a Issued also in print. 
538 |a Mode of access: Internet via World Wide Web. 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) 
650 0 |a Characters of groups. 
650 0 |a Finite fields (Algebra). 
650 0 |a Finite groups. 
650 7 |a MATHEMATICS / Group Theory.  |2 bisacsh 
653 |a Addition. 
653 |a Algebra representation. 
653 |a Algebraic closure. 
653 |a Algebraic group. 
653 |a Algebraic variety. 
653 |a Algebraically closed field. 
653 |a Bijection. 
653 |a Borel subgroup. 
653 |a Cartan subalgebra. 
653 |a Character table. 
653 |a Character theory. 
653 |a Characteristic function (probability theory). 
653 |a Characteristic polynomial. 
653 |a Class function (algebra). 
653 |a Classical group. 
653 |a Coefficient. 
653 |a Cohomology with compact support. 
653 |a Cohomology. 
653 |a Combination. 
653 |a Complex number. 
653 |a Computation. 
653 |a Conjugacy class. 
653 |a Connected component (graph theory). 
653 |a Coxeter group. 
653 |a Cyclic group. 
653 |a Cyclotomic polynomial. 
653 |a David Kazhdan. 
653 |a Dense set. 
653 |a Derived category. 
653 |a Diagram (category theory). 
653 |a Dimension. 
653 |a Direct sum. 
653 |a Disjoint sets. 
653 |a Disjoint union. 
653 |a E6 (mathematics). 
653 |a Eigenvalues and eigenvectors. 
653 |a Endomorphism. 
653 |a Equivalence class. 
653 |a Equivalence relation. 
653 |a Existential quantification. 
653 |a Explicit formula. 
653 |a Explicit formulae (L-function). 
653 |a Fiber bundle. 
653 |a Finite field. 
653 |a Finite group. 
653 |a Fourier transform. 
653 |a Green's function. 
653 |a Group (mathematics). 
653 |a Group action. 
653 |a Group representation. 
653 |a Harish-Chandra. 
653 |a Hecke algebra. 
653 |a Identity element. 
653 |a Integer. 
653 |a Irreducible representation. 
653 |a Isomorphism class. 
653 |a Jordan decomposition. 
653 |a Line bundle. 
653 |a Linear combination. 
653 |a Local system. 
653 |a Mathematical induction. 
653 |a Maximal torus. 
653 |a Module (mathematics). 
653 |a Monodromy. 
653 |a Morphism. 
653 |a Orthonormal basis. 
653 |a P-adic number. 
653 |a Parametrization. 
653 |a Parity (mathematics). 
653 |a Partially ordered set. 
653 |a Perverse sheaf. 
653 |a Pointwise. 
653 |a Polynomial. 
653 |a Quantity. 
653 |a Rational point. 
653 |a Reductive group. 
653 |a Ree group. 
653 |a Schubert variety. 
653 |a Scientific notation. 
653 |a Semisimple Lie algebra. 
653 |a Sheaf (mathematics). 
653 |a Simple group. 
653 |a Simple module. 
653 |a Special case. 
653 |a Standard basis. 
653 |a Subset. 
653 |a Subtraction. 
653 |a Summation. 
653 |a Surjective function. 
653 |a Symmetric group. 
653 |a Tensor product. 
653 |a Theorem. 
653 |a Two-dimensional space. 
653 |a Unipotent representation. 
653 |a Vector bundle. 
653 |a Vector space. 
653 |a Verma module. 
653 |a Weil conjecture. 
653 |a Weyl group. 
653 |a Zariski topology. 
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773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t Princeton University Press eBook-Package Archive 1927-1999  |z 9783110442496 
776 0 |c print  |z 9780691083513 
856 4 0 |u https://doi.org/10.1515/9781400881772 
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912 |a 978-3-11-044249-6 Princeton University Press eBook-Package Archive 1927-1999  |c 1927  |d 1999 
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